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Finding the Third Proportional to 14,787 and 23,517

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Solution

The third proportional to 14,787 and 23,517 is: 37,401.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,787 : 23,517 = 23,517 : x
  2. Step 2: Convert to fraction form
    14,787/23,517 = 23,517/x
  3. Step 3: Cross multiply
    14,787x = 23,517 × 23,517
  4. Step 4: Simplify right side
    14,787x = 553,049,289
  5. Step 5: Solve for x
    x = 553,049,289/14,787
  6. Step 6: Final answer
    x = 37,401.05

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.